Question: On the decibel scale, the loudness of a sound, \(D\), in decibels, is given by \(D=10 \log \frac{I}{I_{0}}\), where \(I\) is the intensity of the sound, in watts per meter \(^{2}\), and \(I_{0}\) is the intensity of a sound barely audible to the human ear. If the intensity of a sound is \(10^{12} I_{0}\), what is its loudness in decibels? (Such a sound is potentially damaging to the ear.)

In Exercises 20-22, simplify each expression.

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